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Finding the Fourth Proportional to 16,045.94, 22,144.95 and 8,972.37

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Solution

The fourth proportional to 16,045.94, 22,144.95 and 8,972.37 is: 12,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.94 : 22,144.95 = 8,972.37 : x
  2. Step 2: Convert to fraction form
    16,045.94/22,144.95 = 8,972.37/x
  3. Step 3: Cross multiply
    16,045.94x = 22,144.95 × 8,972.37
  4. Step 4: Simplify right side
    16,045.94x = 198,692,685.03
  5. Step 5: Solve for x
    x = 198,692,685.03/16,045.94
  6. Step 6: Final answer
    x = 12,382.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.